Answer :
To find the absolute pressure when the gauge pressure of a gas is given, you need to add the atmospheric pressure to the gauge pressure. This is because the gauge pressure measures the pressure relative to the atmospheric pressure, while absolute pressure is the total pressure including the atmosphere.
1. Identify the gauge pressure: It's given as 114 kPa.
2. Identify the atmospheric pressure: Typically, the standard atmospheric pressure at sea level is 101 kPa.
3. Calculate absolute pressure:
[tex]\[
\text{Absolute Pressure} = \text{Gauge Pressure} + \text{Atmospheric Pressure}
\][/tex]
[tex]\[
\text{Absolute Pressure} = 114 \, \text{kPa} + 101 \, \text{kPa}
\][/tex]
4. Final Calculation:
[tex]\[
\text{Absolute Pressure} = 215 \, \text{kPa}
\][/tex]
Given the options:
- A. 14 kPa
- B. 50 kPa
- C. 220 kPa
- D. 214 kPa
None of these options match the calculated absolute pressure of 215 kPa directly. However, if there is any context or rounding needed, the closest usual approximation under normal conditions might be considered, but strictly speaking, 215 kPa is different from any options given.
For an exact match, none of the answer choices fit the result derived.
1. Identify the gauge pressure: It's given as 114 kPa.
2. Identify the atmospheric pressure: Typically, the standard atmospheric pressure at sea level is 101 kPa.
3. Calculate absolute pressure:
[tex]\[
\text{Absolute Pressure} = \text{Gauge Pressure} + \text{Atmospheric Pressure}
\][/tex]
[tex]\[
\text{Absolute Pressure} = 114 \, \text{kPa} + 101 \, \text{kPa}
\][/tex]
4. Final Calculation:
[tex]\[
\text{Absolute Pressure} = 215 \, \text{kPa}
\][/tex]
Given the options:
- A. 14 kPa
- B. 50 kPa
- C. 220 kPa
- D. 214 kPa
None of these options match the calculated absolute pressure of 215 kPa directly. However, if there is any context or rounding needed, the closest usual approximation under normal conditions might be considered, but strictly speaking, 215 kPa is different from any options given.
For an exact match, none of the answer choices fit the result derived.
